1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gregori [183]
3 years ago
12

KN is perpendicular bisector of MQ identify the value of x

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:

5x - 3 = 3x + 9

2x = 12

x = 6

You might be interested in
When the members of a family discussed where their annual reunion should take​ place, they found that out of all the family​ mem
Doss [256]

Answer:

The total number of family members is 21.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of these sets.

I am going to say that:

-The set A represents those that would not go to a park.

-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

The value d represents those who would go to all three places.

We have that:

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

In which a are those that would only not go to a park, A \cap B are those who would not got to a park or to the beach, A \cap C are those who would not go to a park or to the famili cottage. And A \cap B \cap C are those that would not go to any of these places.

By the same logic, we have:

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

This diagram has the following values:

a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)

The total number of family members is the sum of all these values:

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

We start finding the values from the intersection of the three sets

5 would not go to a park or a beach or to the family​ cottage.

This means that A \cap B \cap C = 5

1 would go to all three places. This means that d = 1.

8 would go to neither a park nor the family​ cottage

This means that:

A \cap C + (A \cap B \cap C) = 8

A \cap C = 3

8 would go to neither a beach nor the family​ cottage

B \cap C + (A \cap B \cap C) = 8

B \cap C = 3

7 would go to neither a park nor a​ beach

A \cap B + (A \cap B \cap C) = 7

A \cap B = 2

15 would not go to the family​ cottage

C = 15

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

15 = c + 3 + 3 + 5

c = 4

12 would not go to a​ beach

B = 12

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

12 = b + 3 + 2 + 5

b = 2

11 would not go to a​ park

A = 11

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

11 = a + 2 + 3 + 5

a = 1

Now, we can find the total number of family members.

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

T = 1 + 2 + 4 + 1 + 2 + 3 + 3 + 5

T = 21

The total number of family members is 21.

5 0
3 years ago
There are 1200 students at a school and 390 of them are boys if each classroom holds 30 students how many classrooms are needed
vodomira [7]

Answer:

40 classrooms

Step-by-step explanation:

Divide 1200 by 30.

1200÷30=40

If 390 students are boys just subtract 390 from 1200.

1200-390= 810

There must be 810 girls if there are 390 boys

5 0
2 years ago
What is a credit report? a. A credit report is a number representing your creditworthiness. b. A credit report is a detailed lis
VARVARA [1.3K]

A credit report is a detailed listing of your credit history.

Answer: b

3 0
3 years ago
Read 2 more answers
A swimming pool had 2.5 million liters of water 2million liters evaporated what percent of weather evaporated
Rufina [12.5K]
2million/2.5million=80%
8 0
3 years ago
Abdul purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Abdul paid.
Marysya12 [62]
This is the equation. Try it for yourself and see if it works.

C= n x 4
8 0
3 years ago
Read 2 more answers
Other questions:
  • 673,512 value of the number 5
    11·1 answer
  • In a harris poll of 500 human resource professionals, 150 said that body piercings and tattoos were big grooming red flags. use
    13·1 answer
  • There are 190 students taking band, chorus , or both. If there are 180 students taking band and 60 students in both hand and cho
    10·2 answers
  • Which is greater than 5/6
    12·1 answer
  • Multiply the following rational expressions and simplify the result
    14·1 answer
  • Algebra help needed. Overwhelmed with other papers. See attached
    7·1 answer
  • What is 18 divided by 3
    12·2 answers
  • Find a function f such that f''() = - 36x² + 302 – 14, f(0) = 9, f(1) = - 1.<br> f(x) =
    9·1 answer
  • A bond is currently selling for $6055, which is 86.5% of its face value. What is its face<br> value?
    11·1 answer
  • PLS HELP WILL MARK AS BRAINLIST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!